Problem 1470 (difficulty: 2/10)

Let \(\displaystyle f:\R\to\R\) be Borel-measurable, and \(\displaystyle g:M\to\R\) measurable for some \(\displaystyle (M,\mu)\) measure space. Prove that \(\displaystyle f\circ g\) is \(\displaystyle \mu\)-measurable.


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